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addend
Also found in: Thesaurus , Medical , Legal , Encyclopedia , Wikipedia .
ad·dend
(ăd′ĕnd′, ədĕnd′)
addend
(ˈædɛnd; əˈdɛnd)
ad•dend
(ˈæd ɛnd, əˈdɛnd)
n.
ad·dend
(ăd′ĕnd′)
Noun  1.  – a number that is added to another number (the augend)”>addend – a number that is added to another number (the augend) number – a concept of quantity involving zero and units; “every number has a unique position in the sequence” 
addend
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Definition of ‘addend’
addend in British
(ˈædɛnd
, əˈdɛnd
)
Compare sum1 (sense 1)
C20: short for addendum
addend in American
(ˈædˌɛnd
; adˈendˌ; əˈdɛnd
; ədendˈ)
Houghton Mifflin Harcourt. All rights reserved.
< addendum
Trends of ‘addend’
Used Rarely. addend is in the lower 50% of commonly used words in the Collins dictionary
View usage for:
Nearby words of ‘addend’
 added value
 addedly
 addeem
 addend
 addenda
 addendum
 adder
All ENGLISH words that begin with ‘A’
Source
Collins English Dictionary
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Video: Addend in Math: Definition & Overview
In mathematics, an addend is any number that is added together in an addition problem. This lesson will define the term addend in greater detail as well as explore some examples.
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Addend in Math: Definition & Overview
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0:00 What Is an Addend?
0:29 Examples of Addends
1:17 Properties of Addition
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Jennifer Beddoe
What is an Addend?
Addend is a mathematical term that refers to the numbers being added together in an addition problem.
The word ‘addend’ was first used in the early 1900’s and comes from the Latin word ‘addendus’ which means ‘to be added.’
Addends are sometimes referred to as summands, and the first addend in a sequence is also called the augend.
Any term can be an addend, it does not have to be a number. Variables can also be addends.
Examples of Addends
Here are some addition problems that show the different things that can be considered addends.
1.) 102 + 45 = 147
In this example, 102 and 45 are the addends
2.) x + 3x + 7y
Here, the addends are x, 3x and 7y
3.) 5x^2yz^3 + 2xyz + 7xy^2z^2
For this example, even though it looks big and messy, the addends are still just each term being added together. 5x^2yz^3, 2xyz and 7xy^2z^2 are the addends.
Properties of Addition
There are certain rules and properties that need to be followed when solving problems involving addends.
1.) The Commutative Property: This property states that when performing a problem containing only addition, the order of the addends does not matter
5 + 3 = 3 + 5
2.) The Associative Property: This property states that, when adding, any grouping of the addends has no effect on the outcome
(2 + 5) + 1 = 2 + (5 + 1)
3.) The Additive Identity Property: This property states that any number added to 0 does not change
9 + 0 = 9
4.) The Distributive Property: This property lets you multiply a number to a sum by multiplying each addend separately and then adding the products.
4 x (2 + 8) = 4 x 2 + 4 x 8
4 x 10 = 8 + 32
40 = 40
5.) Adding Negative Numbers: If both of the addends are negative, the sum will also be negative.
(3) + (2) = 5
If only one addend is positive and the other is negative, you can treat the problem like a subtraction problem.
9 + (3) = 9 – 3 = 6
4 + (7) = 4 – 7 = 3
6.) Adding Variables: When adding two terms that contain variables, they can only be added together if the variable portion of the terms are exactly the same. Then, you add the coefficients, leaving the variables the same.
7x + 3x = 10x
3x^2 + 5y + 4x + 2y = 3x^2 + 7y + 4x
In this problem, only the y terms are the same, so only they can be added together. The others must remain as they are.
Lesson Summary
Let’s review. An addend is a number or variable involved in an addition problem. There are specific mathematical rules that govern the addends, including the Commutative Property, the Associative Property, the Additive Identity Property, the Distributive Property and other rules governing adding variables and adding with negative numbers. If you follow these rules, no addition problem will be too big to handle.
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